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Finding the Fourth Proportional to 11,689.72, 17,523.54 and 3,893.06

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Solution

The fourth proportional to 11,689.72, 17,523.54 and 3,893.06 is: 5,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.72 : 17,523.54 = 3,893.06 : x
  2. Step 2: Convert to fraction form
    11,689.72/17,523.54 = 3,893.06/x
  3. Step 3: Cross multiply
    11,689.72x = 17,523.54 × 3,893.06
  4. Step 4: Simplify right side
    11,689.72x = 68,220,236.44
  5. Step 5: Solve for x
    x = 68,220,236.44/11,689.72
  6. Step 6: Final answer
    x = 5,835.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.